Making Education Affordable and Accessible Act This bill reauthorizes through FY2020 and revises the Fund for the Improvement of Postsecondary Education (FIPSE) program. The bill also authorizes new grants under the FIPSE program. Specifically, the Department of Education may award grants to institutions of higher education for dual or concurrent enrollment programs or early-college high-school programs that allow high-school students to earn postsecondary credits.